The relation between a 2D Lotka-Volterra equation and a 2D Toda lattice

Gilson, C.R. and Nimmo, J.J.C. (2005) The relation between a 2D Lotka-Volterra equation and a 2D Toda lattice. Journal of Nonlinear Mathematical Physics, 12(Supple), pp. 169-179. (doi: 10.2991/jnmp.2005.12.s2.12)

Abstract

It is shown that the 2-discrete dimensional Lotka-Volterra lattice, the two dmensional Toda lattice equation and the recent 2-discrete dimensional Toda lattice equation of Santini et al can be obtained from a 2-discrete 2-continuous dimensional Lotka-Volterra lattice.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Gilson, Dr Claire and Nimmo, Dr Jonathan
• Authors: Gilson, C.R., and Nimmo, J.J.C.
• Subjects: Q Science > QA Mathematics; Q Science > QC Physics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Journal of Nonlinear Mathematical Physics
• Publisher: Atlantis Press
• ISSN: 1402-9251
• ISSN (Online): 1776-0852
• Copyright Holders: Copyright © 2005 Atlantis Press and The Authors
• First Published: First published in Journal Of Nonlinear Mathematical Physics 12(Supplement 2):169-179
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher.